Hello!
To find the vertex of f(x), we can simplify this function into standard form.
f(x) = (x - 8)(x - 2)
f(x) = x² + -10x + 16
With the equation in standard form, we use the formula: x = -b/2a. Then, we substitute the value of x into the equation to solve for the y-value.
x = -(-10) / 2(1)
x = 10 / 2
x = 5
Then, we substitute x = 5 into the original equation.
f(x) = (5 - 8)(5 - 2)
f(x) = -3(3)
f(x) = -9
Therefore, the vertex of f(x) is (5, -9).
